Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700d |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
1.9908491550017E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-578759333,5359290202662] |
[a1,a2,a3,a4,a6] |
Generators |
[11521:469567:1] |
Generators of the group modulo torsion |
j |
85758608686785445101568000/796339662000667533 |
j-invariant |
L |
5.4199287389176 |
L(r)(E,1)/r! |
Ω |
0.09060337002159 |
Real period |
R |
1.9940129299599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998686 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3108g1 |
Quadratic twists by: 5 |